maths-surface area

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A solid is in the form of cone mounted on a hemisphere in such a way that the centre of the base of the cone just coincide with the centre of the base of the hemisphere. Slant height of the cone is L and radius of the base of the cone is 1/2r where through r is the radius of the hemisphere. Prove that the surface area of the solid is pie/4 (11r+ 2L) r sq. units.

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